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Finding the Fourth Proportional to 7,969.74, 11,956.74 and 7,098.22

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Solution

The fourth proportional to 7,969.74, 11,956.74 and 7,098.22 is: 10,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.74 : 11,956.74 = 7,098.22 : x
  2. Step 2: Convert to fraction form
    7,969.74/11,956.74 = 7,098.22/x
  3. Step 3: Cross multiply
    7,969.74x = 11,956.74 × 7,098.22
  4. Step 4: Simplify right side
    7,969.74x = 84,871,571.00
  5. Step 5: Solve for x
    x = 84,871,571.00/7,969.74
  6. Step 6: Final answer
    x = 10,649.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.